2429742420 has 504 divisors, whose sum is σ = 9419911200. Its totient is φ = 523200384.

The previous prime is 2429742389. The next prime is 2429742431. The reversal of 2429742420 is 242479242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13573891 + ... + 13574069.

It is an arithmetic number, because the mean of its divisors is an integer number (18690300).

Almost surely, 2^2429742420 is an apocalyptic number.

2429742420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709955600).

2429742420 is an abundant number, since it is smaller than the sum of its proper divisors (6990168780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2429742420 is a wasteful number, since it uses less digits than its factorization.

2429742420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2429742420 is about 49292.4174696271. The cubic root of 2429742420 is about 1344.3739193983.

The spelling of 2429742420 in words is "two billion, four hundred twenty-nine million, seven hundred forty-two thousand, four hundred twenty".